Heights of men on a basketball team have a bell shaped distribution with a mean of 173 cm and a standard deviation of 8 cm using the empirical rule what is the approximate percentage of the men between the following
a. 165 cm and 181 cm
b. 149 cm and 197cm

a. 68%

b. 99.7%                

Step-by-step explanation:

Bell-shaped distribution means Normal distribution.

For finding the percentage first we have to calculate the value of:

If its value is ±1, then using empirical formula percentage = 68%

If its value is ±2, then using empirical formula percentage = 95%

and, If its value is ±3, then using empirical formula percentage = 99.7%

a.

Thus, 68% of data lie within 1 standard deviation of the mean.

b.

Thus, 99.7% of data lie within 3 standard deviation of the mean.